How to solve by completing the square??

x^2 +8x=33

How To Solve By Completing The Square??x^2 +8x=33

Answers

Answer 1

We are given the equation x² + 8x = 33, and we need to solve it from completing the square, for which we will be following the below steps

Step 1 :- First, notice, what's the coefficient of x², if it's 1, then proceed to step 2, if not then divide both sides by the coefficient of x²

[tex]{:\implies \quad \sf x^{2}+8x=33}[/tex]

Step 2 :- Here, we need to develop a whole square in both sides somehow, so we have the coefficient of x, so add the square of half of coefficient of x on both sides :

[tex]{:\implies \quad \sf x^{2}+8x+{\bigg(\dfrac82\bigg)}^{2}=33+{\bigg(\dfrac82\bigg)}^{2}}[/tex]

Simplify both sides now :

[tex]{:\implies \quad \sf x^{2}+8x+(4)^{2}=33+(4)^{2}}[/tex]

Step 3 :- So now, here LHS is in the form of a² + 2ab + b², so we can just replace it by (a + b)², and we will keep simplifying RHS

[tex]{:\implies \quad \sf (x+4)^{2}=33+16}[/tex]

[tex]{:\implies \quad \sf (x+4)^{2}=49}[/tex]

[tex]{:\implies \quad \sf (x+4)^{2}=(\pm 7)^{2}}[/tex]

Step 4 :- As, power on both sides is 2, so we can just equate the bases

[tex]{:\implies \quad \sf x+4=\pm 7}[/tex]

Step 5 :- Equating x + 4 to 7, will yield x = 3, and equating it to -7, will yield x = -11, so we are now left with

[tex]{:\implies \quad \boxed{\bf{x=-11,3}}}[/tex]


Related Questions

What number represents 8 times as many as 2

Answers

answer: 16

explanation: 8*2=16

The number that represents 8 times as many as 2 is 16.

The times in the question is nothing but multiplying a number with another number.

To find the number that represents 8 times as many as 2.

we need to multiply 2 by 8.

Two times eight is equal to sixteen.

2 × 8 = 16

Therefore, the number that represents 8 times as many as 2 is 16.

To learn more on Multiplication click:

https://brainly.com/question/5992872

#SPJ6

What are the solutions to the problem?

(A B C or D?)

Answers

Answer:

C

step by step equation:

add 3 to both side

than simplify

What is the solution to n+25= -1

Answers

Answer:

n=-26

Step-by-step explanation:

Since n+25=-1, that means n must be less than -25 since if -25+25=0, so n=-26 since -1 is 0-1.

a blank is a transformation that changes the slope of a line​

Answers

Answer:

I'm pretty sure its Stretches and Compressions.

Step-by-step explanation:

Kristen made a floor plan for her dog's kennel. The floor plan is shown below.


Note: Figure is not drawn to scale.

If a = 56 in, b = 22 in, c = 73 in, and d = 25 in, what is the perimeter of the floor plan?
A.
346 in
B.
240 in
C.
302 in
D.
256 in

Answers

Answer:

346in

Step-by-step explanation:

[tex]\hookrightarrow Here,\\\\\hookrightarrow a=56 in, b = 22 in, c = 73 in, and d = 25 in\\\\Now,\\\\\hookrightarrow Perimeter=Sum\:of\:all\:sides\\\\\hookrightarrow Perimeter=a+b+b+d+(c-2d)+b+d+b+a+c\\\\\hookrightarrow Perimeter=56+25+22+22+(73-25-25)+22+25+22+56+73\\\\\hookrightarrow Perimeter=346in[/tex]

What are the x- and y-intercepts of the graph of 5x – 4y = 20?

Answers

Answer:

The x-intercept is (4, 0)

The y-intercept is (0, -5)

Step-by-step explanation:

The x-intercept is always (x, 0)

Knowing this we can sub 0 for y in the equation so we can find the x-intercept

[tex]5x-4y=20\\5x-4(0)=20\\5x=20[/tex]

Now solve for x

[tex]5x=20\\\frac{5x}{5} =\frac{20}{5} \\x=4[/tex]

The x-intercept is (4,0)

The y-intercept is always (0, y)

Knowing this we can sub 0 for x in the equation so we can find the y-intercept

[tex]5x-4y=29\\5(0)-4y=20\\-4y=20[/tex]

Now solve for y

[tex]-4y=20\\\frac{-4y}{-4} =\frac{20}{-4} \\y=-5[/tex]

The y-intercept is (0, -5)

Marta studied 20.75 hours total in April and May, she studied 13 hours total in May.
How many hours did Maria study in April?

Answers

Answer:

20.75-13=7.75

Maria studies 7.75 hours in April

Step-by-step explanation:

Brainliest would be appreciated

Genetics, stress and_________can also have an impact on the health of the cardiovascular system.
A. attitude
C. lifestyle

Answers

Answer:

C. lifestyle

Step-by-step explanation:

Hope this helps!

PLEASE HELP ILL MARK BRAINLIEST PLEASEEEEE HELPPPPP

Answers

Answer:

m < 2 = 130°

m < 3 = 50°

m < 4 = 130°

m < 5 = 50°

m < 6 = 130°

m < 7 = 50°

m < 8 = 130°

Step-by-step explanation:

I hope this helps.

please help me find the formula of this table graph thingy

the topic Is graph and direct propotion​

Answers


Find the ratio of the given one: 20/200 = 0.1


this means the sugar (y) is 0.1 amount of soda (x)

Multiply the amount of soda by 0.1:


Formula is y = 0.1x

Answer Below/Step-by-step explanation:

Formula : y = kx or y = k/x

Thus since the formula is y = kx then we can substitute:

y = 20

k = ?

x = 200

20 = ? / 200

? = 10

Therefore for the rest of the blank

100/10 = 10

500/10 = 50

1000/10 = 100

So the chart now is:

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20      |  10       |    50   |  100   |

[RevyBreeze]

pls answer i need help

Answers

Step-by-step explanation:

xcos60 = 5root3/3

1/2x = 5root3/3

x = 10root3/3

Choice C

Select the correct answer.
Rewrite the following expression.

Answers

The answer is on the photo

Which point is a solution to the linear inequality y < -1/2
X + 2?

Answers

Answer:

This is the best answer I could find but it may be incorrect (3,-2)

one more than nineteen​

Answers

Twentytwenty

And in numerical form, 20

Answer:

20

Step-by-step explanation:

first yo get the number 19 then after that you can add 1 and your answer is 20 and aafter 20 (just incase you want to know) is 21

If you have 5 blue marbles, 8 yellow marbles, and 2 green marbles. What is the probability of pulling a yellow marble?

Answers

Add all them up. 5+8+2 = 15

How many yellows? 8/15 = 0.533 ~~ 53%

Answer: 8/15

Step-by-step explanation: take all the color of marbles and add them together. There is where you get your denominator of 25. Next, since you are finding for yellow marbles, take the number of yellow marbles (8) and that will be your numerator.

What number is 35% of 675?​

Answers

Answer:

236.25

Step-by-step explanation:

35/100x675=945/4 = 236.25

What is the most inexpensive way to measure heart rate during exercise?
A. Doing a rate of perceived exertion
B. Taking your pulse
C. Wearing a heart rate monitor
D. None apply

Answers

Answer:

C

Step-by-step explanation:

Taking your own heart rate is the most inexpensive, but it is also accurate if you can measure it correctly.

Identify the polynomial that is the difference of two squares.
A. 25m2 − 16n
B. 49m2 − 81n4
C. 36m2 − 8n8
D. 9m2 − 5n6

Answers

Answer:

Option B, [tex]49m^2 - 81n^4[/tex]

Step-by-step explanation:

Step 1:  Determine the difference of two squares

According to online, "In mathematics, the difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2 = in elementary algebra."  a^2 - b^2 gives us (a + b)(a - b)

The only one that would work is Option B so lets factor it out.

[tex]49m^2 - 81n^4[/tex]

[tex](7m + 9n^2)(7m - 9n^2)[/tex]

Answer:  Option B, [tex]49m^2 - 81n^4[/tex]

(Five Stars & Thanks to whoever answers first)

Answers

Answer:

2/3

Step-by-step explanation:

They rolled an even number 40/60 times which simplifies to 2/3

Answer:

C

Step-by-step explanation:

Table

Dice Roll             Number of times

1                               4

2                              11

3                               6

4                              17

5                              10

6                              12

Total                        60

Total of the even numbers

11

17

12

40  

P(even) = even / total

P(even)  = 40/60

AnswerP(even) = 2/3

You pick a card at random. Without putting the first card back, you pick a second card at random.

3
4
5


What is the probability of picking a 5 and then picking a 5?

Write your answer as a fraction or whole number.

Answers

0 if there is only 1 5

Answer:1/169 i think

Step-by-step explanation:

Because you have to get a 5 twice in a row your first probability for one would be 4/52 or 1/13 but because you have to do it twice in a row you multiply the odds together 1/13*1/13=1/169

how many solutions does 2a-5a=-3a have

Answers

Answer:

Step-by-step explanation:

2a-5a = -3a, combine like terms

   -3a = -3a , this is true all the time so ...

The equation  2a-5a = -3a has infinite many solution.

please i really need help right now 25 points

Answers

Answer:

C

Step-by-step explanation:

f(x) are 6; 2; -3; 4, finalle the answer C is correct.

An athlete has aggressive outburst towards the opposing players is
A. extrovert/stable
B. introvertlunstable
C. introvert/stable
D. extrovert/unstable

Answers

Answer:

D. extrovert/unstable

Step-by-step explanation:

Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. ( If you reshare another students answer from brainly or any other websites you'll be reported) Will Mark Brainliest if answered correctly and draw a diagram). Thank you.​

Answers

We need theta first (angle

[tex]\\ \rm\rightarrowtail sin\theta=\dfrac{P}{H}[/tex]

[tex]\\ \rm\rightarrowtail sin\theta=\dfrac{11.8}{12}[/tex]

[tex]\\ \rm\rightarrowtail sin\theta=0.9834[/tex]

[tex]\\ \rm\rightarrowtail \theta=sin^{-1}(0.9834)[/tex]

[tex]\\ \rm\rightarrowtail \theta=79.54°[/tex]

On rounding it will go till 80°

So it's not safe

Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points
(10,2) and (-3,2)

Answers

Answer:

y = 2

Step-by-step explanation:

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

Finding the Slope of the line:

[tex]\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

[tex]\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Substitute the coordinates of the given points:

[tex]\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10 }[/tex]

Simplify the equation to determine the slope:

[tex]\implies \text{Slope} = \dfrac{0}{-3 - 10 }[/tex]

∴ 0 divided by ANY number is ALWAYS 0.

[tex]\implies \text{Slope} =0[/tex]

Finding the equation of the line:

Point slope form formula: y - y₁ = m(x - x₁)

x₁ and y₁ are the coordinates of any given point.m is the slope

Substitute the values in the point slope form:

[tex]\implies \text{Equation of line:} \ y - y_{1} = m(x - x_{1} )[/tex]

[tex]\implies \text{Equation of line:} \ y - 2 = 0(x - 10)[/tex]

Simplify the equation to determine the equation of the line:

Any number multiplied by 0 is 0.

[tex]\implies \text{Equation of line:} \ y - 2 = 0[/tex]

[tex]\implies \text{Equation of line:} \ y = 0 + 2[/tex]

[tex]\implies \text{Equation of line:} \ y = 2[/tex]

Thus, the equation of the line is y = 2.

Find BC.
Round to the nearest tenth.

Answers

this is 50 because of you add it up to the tenth it’s the ten

At Garcia's Bike Rentals, it costs 31 to rent a bike for 7 hours. How many hours of bike use does a customer get per dollar?

Answers

[tex]\tt \dfrac{7}{31}=0.226~hours/dollar[/tex]

How to tell if an equation is a porabilula

Answers

Answer:

Parabolas have a plane-curve shape, like the one shown in the picture.

In the above figure, m∠A = 26° and m∠B = (2x + 16)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A. x = 24, m∠B = 64°
B. x = 50, m∠B = 64°
C. x = 69, m∠B = 154°
D. x = 24, m∠B = 48°

Answers

Answer:

A. x = 24, m∠B = 64°

Hope this helps!

Simplify: (-4ab^2)(-3b^2c) (5a)

Answers

Answer:

[tex]60a^{2} b^{4} c[/tex]

Step-by-step explanation:

just multiply first paranthesis with second one. They are each 1 unit as there are no addition or subtraction inside the parantehsis so DON'T distribute. It's more simple.

(12ab^4c)*(5a)

now multiply these 2 paranthesis, again just 2 units to multiple.

60a^2b^4c

Other Questions
PLS HELP1) When you describe a graph by how it looks visually, you are explaining the shapeof the datas2) Histograms are used for data sets that are __________ and cover more of a__________. Histograms break down the range into smaller____________________. These interval groups are called ________. Inmates who adopt the ________ lifestyle are primarily concerned with getting out of prison as soon as possible and avoiding hard time in the process. How many molecules are in 0.400 moles of dinitrogen pentoxide What are the removable discontinuities of the following function? f (x) = startfraction x squared minus 36 over x cubed minus 36 x endfraction x = 6, x = 0, and x = 6 x = 6 and x = 6 x = 0 and x = 6 x = 0 and x = 6 The philosophical assumptions underlying the existential approach include the notion(s) that:a. people are thrust into a meaningless and absurd world and that they are basically alone.b. people must create their own meanings through their choices.c. freedom is merely an illusion.d. human destiny is mainly determined by external forces and social conditioning.e. both (a) and (b) What is said like a charm and sounds like smell?Riddle Who was cleopatra dressed as when she met mark antony?. what is importance of gmt?? Please help in urgent need for this answer Which expression is equivalent to 2/31/4x+1/2x1/6? What is TRUE about the use of drawings at a crime scene?O A. Drawings are no longer used because photography is more precise.OB. Only when a camera is not immediately available should a sketch be made.O c.It is common practice for investigators to make a sketch of a crime scene.OD. Investigators are trained in how to make a quality finished sketch of a scene. . . . since they have no use for money among themselves, but keep it as a provision against events which seldom happen, and between which there are generally long intervening intervals, they value it no farther than it deservesthat is, in proportion to its use. so that it is plain they must prefer iron either to gold or silver, for men can no more live without iron than without fire or water; but nature has marked out no use for the other metals so essential as not easily to be dispensed with. utopia, thomas more what is the central idea of this passage? the utopians use money only within utopia. the utopians value money less than other, more useful things. the utopians prefer gold and silver to other metals, such as iron. When someone is patronizing, that person:believes he or she is superior to the other person.prjudges the other person. .carries biases about race.has an oversimplified perception of a group of people. What is the value represented by the letter E on the box plot of the data?45, 45, 50, 55, 60, 65, 72, 75, 80, 80, 90 (3x 6)(6x 4) it's asking me to make another equation to equal A .4Kg hula-hoop is rolled down a hill. It has a diameter of 1.2m. The hula-hoop completes 3.4 rotations every 2.8 seconds. What is the linear velocity of the hoop as it comes down the hill? 2. Find the general relation of the equation cos3A+cos5A=0 When performing a job search witch two of the flowing trips should you employ in regards ti the key words used Write the next three terms of the geometric sequence 2916,972,324,108 Write an equation in slope-intercept form of the line shown.A graph of a line. The line passes through ordered pair 1 comma negative 3 and ordered pair 3 comma 1.An equation is